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Finding the Third Proportional to 127,920 and 278,240

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Solution

The third proportional to 127,920 and 278,240 is: 605,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,920 : 278,240 = 278,240 : x
  2. Step 2: Convert to fraction form
    127,920/278,240 = 278,240/x
  3. Step 3: Cross multiply
    127,920x = 278,240 × 278,240
  4. Step 4: Simplify right side
    127,920x = 77,417,497,600
  5. Step 5: Solve for x
    x = 77,417,497,600/127,920
  6. Step 6: Final answer
    x = 605,202.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.